Base | Representation |
---|---|
bin | 111100001111000… |
… | …0000110000000000 |
3 | 12012212010012200100 |
4 | 1320132000300000 |
5 | 13114402231222 |
6 | 532315522400 |
7 | 101041230642 |
oct | 17036006000 |
9 | 5185105610 |
10 | 2021133312 |
11 | 947971410 |
12 | 484a59400 |
13 | 262966593 |
14 | 1525da892 |
15 | bc6894ac |
hex | 78780c00 |
2021133312 has 132 divisors (see below), whose sum is σ = 6366841416. Its totient is φ = 612433920.
The previous prime is 2021133299. The next prime is 2021133347. The reversal of 2021133312 is 2133311202.
It is a tau number, because it is divible by the number of its divisors (132).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a zygodrome in base 2.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91408 + ... + 111344.
Almost surely, 22021133312 is an apocalyptic number.
2021133312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2021133312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3183420708).
2021133312 is an abundant number, since it is smaller than the sum of its proper divisors (4345708104).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2021133312 is a wasteful number, since it uses less digits than its factorization.
2021133312 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 19974 (or 19953 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
The square root of 2021133312 is about 44957.0162711006. The cubic root of 2021133312 is about 1264.3432278401.
Adding to 2021133312 its reverse (2133311202), we get a palindrome (4154444514).
The spelling of 2021133312 in words is "two billion, twenty-one million, one hundred thirty-three thousand, three hundred twelve".
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